<p>In this paper, a design and high accuracy implementation of fractional order proportional integral (FOPI) controller is proposed for a PMSM speed system, and the numerical implementation performance of the fractional order operator is evaluated with comprehensive investigation using different implementation methods. Three commonly used numerical implementation methods of fractional operators are investigated and compared in this paper, &nbsp;including impulse response invariant method, Oustaloup method and GL definition method. Futhermore, for the impulse response invariant method, the effects of different discrete orders on the system control performance are compared. The simulation results show that the high accuracy numerical implementation method of the designed high-order FOPI controller has improved performance over normal accuracy fractional order operation implementation. In future work, the Field Programmable Gate Array (FPGA) will be applied to implement high-order fractional order controller with parallel calculation for high real time performance.</p><p>In this paper, a FOPI controller is designed to control the speed of PMSM, and the numerical implementation accuracy of fractional order operator is investigated. Three commonly used numerical implementation methods of fractional order operator are compared, and both impulse response invariant method and Oustaloup method have good fitting performance. The influence of different discreted orders of the impulse response invariant method on the control performance of the system is also compared. The higher-order implementation of fractional order operator can achieve better fitting with the expected value. Moreover, the simulation results show that the higher-order implementation of the controller can get better performance over the normal accuracy implementation. In future work, this high order controller can easily implemented in our FPGA control platform with parallel calculation to guarantee the expected real time performance.</p>

Design and High Accuracy Numerical Implementation of Fractional Order PI Controller for PMSM Speed System

Paper Proceedings: https://asmedigitalcollection.asme.org/IDETC-CIE/IDETC-CIE2021/volume/85369

ASME 2021 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE2021)

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